Atlas1,156 of 3,915

I.B.150

m₃ = 0.5

From Li & Liao (2017)

I.B.150 m₃ = 0.5 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 0.5 that return to their starting positions and velocities every 173.88 time units, published by Li & Liao (2017). Class I.B orbits, for equal and unequal masses. It is weakly unstable (largest Floquet multiplier 5.411), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00056 of each other at a top speed of 48.8, line up 348 times a period, and the computed loop closes to 1.4×10⁻²⁴.

Measured over one period

Period: 173.8818026
Masses: 1 : 1 : 0.5
Energy: -1.32544
Angular momentum: 0
Closest approach: 5.6×10⁻⁴
Top speed: 48.78
Path length: 456.07
Alignments per period: 348
Stability: weakly unstable (|λ|max 5.411)
Loop closure: 1.4×10⁻²⁴

Neighbours on the map

All I.B orbits, the families of periodic three-body orbits, or the atlas map.